Factors of 1350 that add upto 105

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Factors of 1350 that add upto 105 are 2, 3, 10, and 90

How to find factors of 1350 that add upto 105

Steps to find factors of 1350 that add upto 105

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 105, and read off the answer!

Example: Find factors of 1350 that add upto 105

Sum of 2, 3, 10, and 90 : 2 + 3 + 10 + 90 = 105

Hence, factors of 1350 that add upto 105 are 2, 3, 10, and 90.

Steps to find Factors of 1350

Step 1. Find all the numbers that would divide 1350 without leaving any remainder. Starting with the number 1 upto 675 (half of 1350). The number 1 and the number itself are always factors of the given number.

1350 ÷ 1 : Remainder = 0

1350 ÷ 2 : Remainder = 0

1350 ÷ 3 : Remainder = 0

1350 ÷ 5 : Remainder = 0

1350 ÷ 6 : Remainder = 0

1350 ÷ 9 : Remainder = 0

1350 ÷ 10 : Remainder = 0

1350 ÷ 15 : Remainder = 0

1350 ÷ 18 : Remainder = 0

1350 ÷ 25 : Remainder = 0

1350 ÷ 27 : Remainder = 0

1350 ÷ 30 : Remainder = 0

1350 ÷ 45 : Remainder = 0

1350 ÷ 50 : Remainder = 0

1350 ÷ 54 : Remainder = 0

1350 ÷ 75 : Remainder = 0

1350 ÷ 90 : Remainder = 0

1350 ÷ 135 : Remainder = 0

1350 ÷ 150 : Remainder = 0

1350 ÷ 225 : Remainder = 0

1350 ÷ 270 : Remainder = 0

1350 ÷ 450 : Remainder = 0

1350 ÷ 675 : Remainder = 0

1350 ÷ 1350 : Remainder = 0

Hence, Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, and 1350

How do you explain factors?

In mathematics, the term factor is a number or an algebraic expression that divides another number or an expression completely without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 1350 is a factor of itself.
2 is the only even prime factor any number can have.
Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350 are exact divisors of 1350.
1 is the common and smallest natural factor every number can have.
Every number is a factor of zero (0), since 1350 x 0 = 0.

Examples

How many factors are there for 1350?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
So there are in total 24 factors.

Raju wishes to write all the prime factors of 1350. Can you assist him in doing the same?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
Prime factors of 1350 are 2, 3, 3, 3, 5, 5.

Can you assist Aubrey in finding factors of 1350 that add upto 105?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
Factors of 1350 that add upto 105 are 2, 3, 10, 90, as 2 + 3 + 10 + 90 = 105.

Can you help Diji in finding sum of all even factors of 1350?

Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350.
Even factors of 1350 are 2, 6, 10, 18, 30, 50, 54, 90, 150, 270, 450, 1350.
Hence, sum of even factors of 1350 is; 2 + 6 + 10 + 18 + 30 + 50 + 54 + 90 + 150 + 270 + 450 + 1350 = 2480.

Help Ashi in writing the negative pair factors of 1350?

Negative factors of 1350 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -90, -135, -150, -225, -270, -450, -675, -1350. Hence, factors of 1350 in pair are (-1,-1350), (-2,-675), (-3,-450), (-5,-270), (-6,-225), (-9,-150), (-10,-135), (-15,-90), (-18,-75), (-25,-54), (-27,-50), (-30,-45).

Rubel's teacher has asked her to find the factors of 1350 and to write the positive factors and negative factors of 1350. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. Negative factors of 1350 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -90, -135, -150, -225, -270, -450, -675, -1350.

Write the correct prime factorization pattern of 1350?

Correct prime factorization pattern of 1350 is 2 x 3³ x 5².